MinT - Information on Result #2853187

Information on Result #2853187

Linear OOA(3¹⁶⁸, 58, F₃, 5, 93) (dual of [(58, 5), 122, 94]-NRT-code), using strength reduction based on linear OOA(3¹⁶⁸, 58, F₃, 5, 94) (dual of [(58, 5), 122, 95]-NRT-code), using

constructionÂ X applied to AG(5;F,140P) âŠ‚ AG(5;F,166P) [i] based on
1. linear OOA(3¹³⁹, 47, F₃, 5, 94) (dual of [(47, 5), 96, 95]-NRT-code), using algebraic-geometric NRT-code AG(5;F,140P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹¹³, 47, F₃, 5, 68) (dual of [(47, 5), 122, 69]-NRT-code), using algebraic-geometric NRT-code AG(5;F,166P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3²⁹, 11, F₃, 5, 25) (dual of [(11, 5), 26, 26]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3²⁹, 12, F₃, 5, 25) (dual of [(12, 5), 31, 26]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,34P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.